There are 0 solutions because the lines are parallel and will never intersect.
800/$20 per square yard= 40 sq yards
15ft=5 yards
40 sq yds/5 yards= 8 yards or 24 feet
length= 24 feet or 8 yards
The Surface area of the cube will be 433.5 square feet. Then the correct option is C.
<h3>What is a surface area of a cube?</h3>
Suppose that: The side length of the considered cube is L units. Then, we get:
Surface area of that cube = 6L² square units.
Bella is wrapping a cube shape box that measures 8.5 inches along each side.
The edge length of the cube is 8.5 meters.
Then the Surface area of the cube will be
Surface area = 6 x 8.5²
Surface area = 6 x 72.25
Surface area = 433.5 square feet
The Surface area of the cube will be 433.5 square feet.
Then the correct option is C.
More about the surface area of the cube link is given below.
brainly.com/question/13789496
#SPJ1
Answer:
<em>(a) 3 inches
</em>
<em>(b) Her scale model drawing WILL fit on the piece of paper 8.5 by 7 inches</em>
Step-by-step explanation:
<u>Scaling
</u>
We use scales to represent realities in reduced spaces. In the case of lengths or surfaces, the scale allows us to draw the shapes in normal sheets of paper.
(a)
Kelly's rock garden has a length of 6 feet. She uses a 1 inch:2 feet scale. this means that the model length is
6 feet*1 inch/2 feet = 3 inches
(b)
The width of the model is 5 inches, keeping the same scale it means the real length is
5 inches * 2 feet / 1 inch = 10 feet
The model will have 3 inches by 5 inches, it perfectly fits on any regular piece of paper
let's recall that a cube is just a rectangular prism with all equal sides, check picture below.
![\bf \textit{volume of a cube}\\\\ V=s^3~~ \begin{cases} s=&length~of\\ &a~side\\ \cline{1-2} V=&27000 \end{cases}\implies 27000=s^3\implies \sqrt[3]{27000}=s\implies 30=s \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a cube}\\\\ SA=6s~~\begin{cases} s=&length~of\\ &a~side\\ \cline{1-2} s=&30 \end{cases}\implies SA=6(30)\implies SA=180](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvolume%20of%20a%20cube%7D%5C%5C%5C%5C%20V%3Ds%5E3~~%20%5Cbegin%7Bcases%7D%20s%3D%26length~of%5C%5C%20%26a~side%5C%5C%20%5Ccline%7B1-2%7D%20V%3D%2627000%20%5Cend%7Bcases%7D%5Cimplies%2027000%3Ds%5E3%5Cimplies%20%5Csqrt%5B3%5D%7B27000%7D%3Ds%5Cimplies%2030%3Ds%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ctextit%7Bsurface%20area%20of%20a%20cube%7D%5C%5C%5C%5C%20SA%3D6s~~%5Cbegin%7Bcases%7D%20s%3D%26length~of%5C%5C%20%26a~side%5C%5C%20%5Ccline%7B1-2%7D%20s%3D%2630%20%5Cend%7Bcases%7D%5Cimplies%20SA%3D6%2830%29%5Cimplies%20SA%3D180)